Search a number
-
+
233141151100 = 2252111319858083
BaseRepresentation
bin1101100100100001001…
…0111010010101111100
3211021210000012121010011
43121020102322111330
512304433113313400
6255034211553004
722562312041534
oct3311022722574
9737700177104
10233141151100
118a969113580
12392265bb764
1318ca63b9a60
14b3d97964c4
1560e7c248ba
hex36484ba57c

233141151100 has 144 divisors (see below), whose sum is σ = 625646206080. Its totient is φ = 74138284800.

The previous prime is 233141151077. The next prime is 233141151121. The reversal of 233141151100 is 1151141332.

It is a happy number.

233141151100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157342 + ... + 700741.

It is an arithmetic number, because the mean of its divisors is an integer number (4344765320).

Almost surely, 2233141151100 is an apocalyptic number.

233141151100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233141151100 is an abundant number, since it is smaller than the sum of its proper divisors (392505054980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233141151100 is a wasteful number, since it uses less digits than its factorization.

233141151100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858140 (or 858133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 233141151100 its reverse (1151141332), we get a palindrome (234292292432).

The spelling of 233141151100 in words is "two hundred thirty-three billion, one hundred forty-one million, one hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4940 5225 5434 6175 7150 10450 10868 12350 13585 14300 20900 24700 27170 54340 67925 135850 271700 858083 1716166 3432332 4290415 8580830 9438913 11155079 16303577 17161660 18877826 21452075 22310158 32607154 37755652 42904150 44620316 47194565 55775395 65214308 81517885 85808300 94389130 111550790 122705869 163035770 179339347 188778260 211946501 223101580 235972825 245411738 278876975 326071540 358678694 407589425 423893002 471945650 490823476 557753950 613529345 717357388 815178850 847786004 896696735 943891300 1059732505 1115507900 1227058690 1630357700 1793393470 2119465010 2331411511 2454117380 3067646725 3586786940 4238930020 4483483675 4662823022 5298662525 6135293450 8966967350 9325646044 10597325050 11657057555 12270586900 17933934700 21194650100 23314115110 46628230220 58285287775 116570575550 233141151100